"It's a bit of a pain in the ass."

Li Zheng rubbed his chin in response.

"If you have a chance later, you have to redistribute the distribution..."

……

Time flies, learning is like a shuttle.

Although the weather is getting colder, thinking and inspiration are steaming like magma and crazily cracking.

Until one weekend in mid-December, Xie Qifen had to take his mother to the hospital to get medicine and had to rest for a day. Li Zheng and Lin Yujing did not stop, but drove to an old community 12 kilometers away from the school.

According to the address on the house number, the two climbed all the way to the fifth floor, knocking on a quaint big green door with uncertainty.

It was a lean man who opened the door. Although it was the first time we met, he was frighteningly enthusiastic.

"Fengfeng's classmate, right? Quick, quick, please come in!"

He didn't allow him to change his slippers, so the man just pulled the two of them in, and kept muttering: "This is the first time a classmate came to him... What do you want for lunch? I'll prepare it for you, and you can also go out to eat. "

"Okay..." Gui Jianfeng came out of the back room at this moment, snatched Li Zheng and Lin Yujing and pulled them in, "Leave me alone, we can just stay by ourselves..."

Li Zheng was stunned, not because of Gui Jianfeng's cute fluffy pajamas, but because——

【Return to the wind】

【Academic Ability: 2899】

Is this TM still a person? ?

It seemed to be around 1000 before.

In the past few months, what has happened to grandpa?

Changed him to a 3080 graphics card?

On the other side, even though the old man was left out in the cold, he still smiled and said, "Then I'll go to your grandma's place, and I put the lunch money on the table, so you can eat whatever you want."

After saying that, he took the banknote and changed his shoes with a smile and left.

Gui Jianfeng heaved a sigh of relief when he heard the door closing, entered the room, and motioned for the two to sit down casually.

It's not that Li Zheng and Lin Yujing don't want to sit...

Mainly because there is nowhere to sit.

Except for the aisle and the human-shaped area on the bed, there are draft papers full of calculations in all directions, and it is already very strenuous to stand here.

Lin Yujing also swallowed and spit: "Fengfeng looks clean, but his habits are so bad..."

Seeing the rumors, he hurriedly raised his hand to sweep around a few times, and managed to clean up the space between the two buttocks on the bed. He scratched his head and smiled and said, "At first, my dad would clean it up, but later I found out that every time I finished cleaning it, it took a day. It will be like this again, let’s just do it like this, sometimes I think of the things I calculated before, and it’s convenient to take it.”

Li Zheng scanned the several layers of draft paper and said, "It's all in such a mess, can you still find what you need?"

"It's ok. Anyone who throws it away will have an impression, such as the S-matrix theory." After Gui Jianfeng said it, he immediately turned his head to the front of the bed, then leaned over to the ground and slapped it. Li Zheng, "So I like to stay at home~"

Li Zheng looked at the paper and shook his head blankly: "I don't care, you are fooling around, anyway, I don't know what the hell the S-matrix is..."

"Haha, it's up to you." Gui Jianfeng brushed the paper on the chair and sat up, "You haven't looked for me during this time, it just so happened that Sister Jing sent me a lot of articles and topics, so I have been writing I did it and didn’t stop. Grandpa Jing said that he had read all the papers in mainstream mathematics journals in the past 40 years and selected them for me. I didn’t believe it at first, but now I’m convinced, haha.”

"My grandpa really read it." Lin Yujing nodded vigorously and said, "I still remember the publication day, every time he cooks the meal in the morning on the publication day and ignores me, if I have to wait until noon, now it's always , I didn’t even dare to call him on the publication day.”

"Ha, sure enough." Gui Jianfeng covered his mouth and smiled, "Among the people I know with this level of learning, only Li Zheng can compete with him, right?"

"Our father and I are not fighting." Li Zhengzheng nodded emphatically, "It's a struggle."

"You're cooking an eagle with this place."

"That's what it means." Li Zheng laughed, took out seven or eight pieces of paper and stacked them together and handed them to Gui Jianfeng, "This is a paper that inspired us before, I transformed it into a mathematical form, you Help me to see, there are a few theoretical solutions."

"I understand physics too, so there's no need to do this." Gui Jianfeng took the paper with a smile, shook his head, glanced at it, and immediately moved the chair back to the table, "I take back what I just said, I have never seen this kind of physics. Hold on, give me 10 minutes."

Li Zheng panicked, "No, you can figure it out within a week. I can't even use the computer for 10 minutes."

However, Gui Jianfeng had already ignored him, and just grabbed the draft paper and started to do it.

Seeing this, Li Zheng had no choice but to look at Lin Yujing with a smile, and sat back by the bed.

It's not a problem to wait like this. After waiting for 2 minutes and being bored, Li Zheng raised his hand and squeezed Lin Yujing.

"Why are you pinching me?" Lin Yujing cursed.

"I'm trying." Li Zheng looked serious, looking at Gui Jianfeng, who was writing hard, seriously, "How can he focus on studying like this?"

"Then why are you pinching me!!"

"Being idle is also idle. I think it's better to make some voices and do some things to see how stable his learning spirit is."

"Then...then why didn't I pinch you?"

"Okay, come on, pinch."

"Don't stand up, what kind of posture is this?"

"You don't pinch? Then I'll pinch you."

"Get up and go!!"

During the dispute, Gui Jianfeng suddenly waved his hand and said without raising his head.

"5... No, no, wait a minute, 8 solutions."

Li Zheng's body was shocked, and he couldn't care less about pinching and being pinched.

It was the magic angle calculation process of double-layer graphene that was handed over to Gui Jianfeng.

In the paper, five possible magic angles are finally given, which is Gui Jianfeng's first reaction.

But 8?Is there a situation that the computer does not consider?

"And then?" Li Zheng rushed over and asked, "How did those three get out?"

"It only exists in theory. If you need to use imaginary numbers or something, you won't be able to understand any number of tools." Gui Jianfeng twisted his pen and turned up the paper, "I haven't calculated it yet, it's just a feeling, but I have calculated it like this There are so many, the correct rate of feeling is basically 100%, give me half an hour, and I will try to do the math.”

"Please!"

Seeing Gui Jianfeng start with all his strength, Li Zheng carefully returned to the bed, not daring to mess around anymore, and just looked at him silently.

"Only mathematics..." Even Lin Yujing had no choice but to worship, "There is no room for resistance in front of Fengfeng..."

"Since he can count... For more than ten years, he has been doing mathematics for 14 hours a day..." Li Zheng shook his head dully, "I can no longer imagine the structure of his brain..."

"I really want to see him solve puzzles with Lao..."

"I'm afraid that two universes are about to collide..."

Chapter 390 Super Time Beyond the Number Field

Fengshen who does business.

is smiling.

During the demented worship of Li Zheng and Lin Yujing, he would occasionally smile spiritually, and then think about the next step.

He turned his head several times to share some joy, but seeing the expressions of the two, he took it back and continued his calculation helplessly.

This process was very similar to Li Zheng who wanted to share the magic of solving problems with Liu Xin.

Li Zheng has seen a lot of explosive academic ability, and also worked some incomparable geniuses.

But at this moment, he was still timid.

He has galloped for many years, and his friends in the circle praised him and called him a god.

Physics friends call him that, and he can pick it up.

Chemistry friends call him that, and he can pick it up.

Even biology and computers are hardwired.

Only mathematics, as long as Gu Jianfeng is here, he is afraid that he will never be able to handle it.

Now Gui Jianfeng is facing the problem, which is actually "the solution to the magic horn".

It was a math topic transformed from a physics paper by Li Zheng's painstaking efforts.

In the topic, he used a way of almost talking to the computer, translating the electrical properties, electrons, stacked physical manifestations of two-dimensional graphene, etc. into a series of complex functions and matrices, just to clearly show In front of the wind, let him have nothing else to do.

As for Li Zheng himself, if he faced the same problem, he might be able to get the 5 solutions in the paper for a long time, but further expand to 8?This is not a question of whether there is an idea, but that the idea that generates the idea will not be born at all.

After worshiping like this for about ten minutes, Gui Jianfeng pulled another stack of empty papers, smiled and shook his head.

"No, no, it's not imaginary numbers, and imaginary numbers can only give conventional solutions..."

"Intuition...wrong?" Li Zheng asked weakly.

"The intuition is right, the tool is wrong, these matrices of yours are already equivalent to imaginary numbers... you need to do more theoretical expansion..." Gui Jianfeng turned his head and raised his hand excitedly, "Quaternary Count! You have driven me to this point, I like this question."

"!!" Li Zheng also stared, and thought for a long time before he remembered that there seemed to be such a thing, "Quaternion... I remember it is a further expansion of the imaginary part?"

"Well, the more complicated but purer mathematical form has accumulated a lot of calculations, let's try to solve it before dark." Gui Jianfeng turned around and twisted his neck, panting, "If this doesn't work, just I'm going to use octonions... I have to accumulate and accumulate, even if I have to do it for a week... Saying that, I'm quite excited..."

"Wait, you can take a break..."

However, at this moment, Gui Jianfeng could no longer hear Li Zheng's words.

At the moment he talks only to mathematics.

"Hmm..." It was only now that Lin Yujing dared to say no, pulled Li Zheng and said, "I understand imaginary numbers, are they almost plural numbers? What the hell are quaternions?"

"Hmm... It's probably a mathematical concept that was put forward a long time ago, but only in recent years has room for application." Li Zheng smiled, "You have today too!"

"My brain only records knowledge that is useful, unlike yours that memorizes all scumbag knowledge."

"You don't understand that. Knowledge is the source of inspiration." Li Zheng clenched his fist and said, "As long as I have enough knowledge, I might be able to combine two completely unrelated knowledge points at some point."

Li Zheng started his explanation on this.

Imaginary numbers are a subset of complex numbers, so the concept of "complex numbers" is used more often when talking about this part.

The so-called plural is actually just middle school content, but most people will lose their memory instantly after learning that chapter, and they will never encounter this word again in this life.

But for mathematicians, it is a tried and tested tool. Although mathematicians can’t understand normal people, they always say one or two words that make people half understand, such as——

[In the field of real numbers, the shortest path connecting two truths is through the field of complex numbers. 】

The so-called vague understanding means that the words "connection", "shortest", and "path" are all understood.

But once the two lumps of "real number field" and "complex number field" are added, it is impossible to understand.

At this time, Li Zheng's supplementary lectures for Liu Xin came in handy again. In fact, this sentence is only a metaphor for Liu Xin to understand——

[Arbitrarily two points on the surface of the balloon, the shortest path connecting them is to pass through the inside of the balloon. 】

Well, in fact, even if you say that, Liu Xin still might not understand it.

Fortunately, there are not many samples like him in the human population.

If real numbers are numbers that can be felt intuitively and exist exactly like 1, 2, and 3, then complex numbers are numbers that cannot be felt intuitively, numbers like -1 under the root sign, and -2 under the root sign. Can't find which number's square is equal to -2.

Here, the real domain is like the surface of the visible balloon, no matter how it curls and expands, it is still a two-dimensional plane, and the inside of the balloon, beyond the intuition of numbers, but the part that can exist in theory, is the complex number domain.

It can be said that imaginary numbers add a dimension to mathematics, and can also be called binary numbers.

So what about the quaternion mentioned by Gui Jianfeng?

That is another dimension enhancement of imaginary numbers...

At this level, it is already difficult to give examples that Liu Xin can understand.

As for the above-mentioned octonions, human beings have not found a suitable application space so far, and it may already be knowledge outside this universe.

In the room, after Lin Yujing figured out the quaternion, she was amazed: "Is it so deep already... No wonder grandpa doesn't catch us skipping class... Find papers for Fengfeng every day..."

"Hmph." Li Zheng said disdainfully, "Seeing differences and thinking about changing, grandpa is an old scumbag."

Lin Yujing scolded with a smile: "You really should blackmail grandpa if you have the chance."

"Grandpa won't blackmail me?"

"Well... still, okay..."

"Damn it, it's appointed that you blackmail me a lot."

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